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Finding the Fourth Proportional to 3,104.93, 4,284.32 and 1,778.38

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Solution

The fourth proportional to 3,104.93, 4,284.32 and 1,778.38 is: 2,453.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.93 : 4,284.32 = 1,778.38 : x
  2. Step 2: Convert to fraction form
    3,104.93/4,284.32 = 1,778.38/x
  3. Step 3: Cross multiply
    3,104.93x = 4,284.32 × 1,778.38
  4. Step 4: Simplify right side
    3,104.93x = 7,619,146.45
  5. Step 5: Solve for x
    x = 7,619,146.45/3,104.93
  6. Step 6: Final answer
    x = 2,453.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.